Finding the Third Proportional to 54,476 and 114,460

Step by Step Solution

1. Step 1: Write the proportion equation
   54,476 : 114,460 = 114,460 : x
2. Step 2: Convert to fraction form
   54,476/114,460 = 114,460/x
3. Step 3: Cross multiply
   54,476x = 114,460 × 114,460
4. Step 4: Simplify right side
   54,476x = 13,101,091,600
5. Step 5: Solve for x
   x = 13,101,091,600/54,476
6. Step 6: Final answer
   x = 240,492.91